{
  "id": "physics/0107058",
  "version": "v1",
  "published": "2001-07-23T23:24:33.000Z",
  "updated": "2001-07-23T23:24:33.000Z",
  "title": "Mean flow in hexagonal convection: stability and nonlinear dynamics",
  "authors": [
    "Yuan-nan Young",
    "Hermann Riecke"
  ],
  "comment": "33 pages, 20 figures. For better figures:http://astro.uchicago.edu/~young/hexmeandir",
  "doi": "10.1016/S0167-2789(01)00389-X",
  "categories": [
    "physics.flu-dyn",
    "physics.comp-ph"
  ],
  "abstract": "Weakly nonlinear hexagon convection patterns coupled to mean flow are investigated within the framework of coupled Ginzburg-Landau equations. The equations are in particular relevant for non-Boussinesq Rayleigh-B\\'enard convection at low Prandtl numbers. The mean flow is found to (1) affect only one of the two long-wave phase modes of the hexagons and (2) suppress the mixing between the two phase modes. As a consequence, for small Prandtl numbers the transverse and the longitudinal phase instability occur in sufficiently distinct parameter regimes that they can be studied separately. Through the formation of penta-hepta defects, they lead to different types of transient disordered states. The results for the dynamics of the penta-hepta defects shed light on the persistence of grain boundaries in such disordered states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-07-23T23:24:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean flow",
      "nonlinear dynamics",
      "hexagonal convection",
      "hexagon convection patterns",
      "phase modes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}